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A projectile can have the same range R f...

A projectile can have the same range R for two angles of projection. If `t_(1)` and `t_(2)` be the times of flight in the two cases:-

A

`t_(1) t_(2) propR`

B

`t_(1) t_(2)prop R^(2)`

C

`t_(1) t_(2)prop 1//R`

D

`t_(1) t_(2)prop 1//R ^(2)`

Text Solution

Verified by Experts

`t_(1)=( 2usintheta)/ (g) `
`t_(2) = (2 u sin (90^(@) -theta))/(g)=2ucos theta`
`t_(1) t_(1) = (2)/(g) (u^(2)sin 2theta )/(g)= (2) /(g) " R"`
where R is the range Hence `t_(1) t _( 2)=propR`
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